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Finding the Fourth Proportional to 852.04, 1,174.82 and 769.10

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Solution

The fourth proportional to 852.04, 1,174.82 and 769.10 is: 1,060.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.04 : 1,174.82 = 769.10 : x
  2. Step 2: Convert to fraction form
    852.04/1,174.82 = 769.10/x
  3. Step 3: Cross multiply
    852.04x = 1,174.82 × 769.10
  4. Step 4: Simplify right side
    852.04x = 903,554.06
  5. Step 5: Solve for x
    x = 903,554.06/852.04
  6. Step 6: Final answer
    x = 1,060.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.